Question

A sinusoidal wave is propagating in negative x-direction in a string stretched along x-axis. A particle of string at x=2 cm is found at its mean position and it is moving in positive y-direction at t=1 s. the amplitude of the wave, the wavelength and the angular frequency of the wave are 0.1m,pi//4m and 4pi rad//s, respectively. The instantaneous power transfer through x=2 m and t=1.125 s is

Answer 1

Answer:

Power transmission at this moment is ZERO

Explanation:

As we know that the angular frequency of the particle is

$T = \frac{2\pi}{\omega}$

$T = \frac{2\pi}{4\pi}$

$T = 0.5 s$

now from this we have

$t = \frac{T}{4} = 0.125 s$

so given time is

$t_1 = 1.125 s$

here we can say that particle will complete 2 oscillations and then reach to its maximum position after that

so at this moment velocity of the particle is v = 0

so power transmitted at this moment must be

$P = F.v$

P = ZERO

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Topic : Power transmission in wave

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